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Quasistatic frictional thermo‐piezoelectric contact problem
Author(s) -
Benaissa Hicham,
Benkhira ElHassan,
Fakhar Rachid,
Hachlaf Abdelhadi
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5442
Subject(s) - quasistatic process , coulomb's law , piezoelectricity , constitutive equation , dry friction , coulomb , mathematics , coulomb friction , unilateral contact , quasistatic approximation , classical mechanics , mathematical analysis , mechanics , physics , nonlinear system , materials science , finite element method , composite material , thermodynamics , quantum mechanics , electron
We consider here a mathematical model describing the bilateral frictional contact between a thermo‐piezoelectric body and a thermally conductive foundation. We model the behavior of the material with a linear thermo‐electro‐elastic constitutive law. The process is assumed to be quasistatic and the contact is modeled with a nonlocal version of Coulomb's dry friction law, in which the frictional heat generated in the process, is taken into account. We drive a variational formulation of the problem and establish the existence of its weak solution.